On the inversion formula for two polynomials in two variables
نویسندگان
چکیده
منابع مشابه
Waring’s Problem for Polynomials in Two Variables
We prove that all polynomials in several variables can be decomposed as the sums of kth powers: P (x1, . . . , xn) = Q1(x1, . . . , xn) + · · ·+Qs(x1, . . . , xn), provided that elements of the base field are themselves sums of kth powers. We also give bounds for the number of terms s and the degree of the Qi . We then improve these bounds in the case of two variables polynomials of large degre...
متن کاملWaring Problem for Polynomials in Two Variables
We prove that all polynomials in several variables can be decomposed as the sum of kth powers: P (x1, . . . , xn) = Q1(x1, . . . , xn) + · · ·+Qs(x1, . . . , xn), provided that elements of the base field are themselves sum of kth powers. We also give bounds for the number of terms s and the degree of the Qi . We then improve these bounds in the case of two variables polynomials to get a decompo...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1988
ISSN: 0022-4049
DOI: 10.1016/0022-4049(88)90138-7